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. 2014 Jun 19;11(6):6400–6416. doi: 10.3390/ijerph110606400

Table 2.

Summary of gravimetric equivalency conversion for the three humidity adjusted results (with and without a 60% RH threshold) utilizing a linear, linear with log transformed variables, linear with log transformed and spline variable, and linear with log transformed and quadratic variable Equations.

Equation Type Coefficient and RMSE Values With Threshold Without Threshold
Equation 1a Equation 1b Equation 2a Equation 1a Equation 1b Equation 2a
Linear eqn. (Equation (3)) a 0 0 0 0 0 0
b 0.848 0.845 0.831 0.892 0.757 0.696
RMSE 3927 4002 4005 3956 3982 3955
Linear eqn. w/log transformed variables (Equation 4) a 2.726 2.750 2.753 2.723 2.510 2.395
b 0.711 0.707 0.706 0.715 0.724 0.730
RMSE 2889 2977 2969 2932 3001 2990
Linear eqn. w/log transformed and spline variables (Equation 5) a 0.859 * 0.872 * 0.822 * 0.565 * 0.921 * 0.868 *
b 0.949 0.948 0.953 0.995 0.921 0.917
c −4.051 −0.411 −0.416 −0.430 −0.471 −0.502
d 8.4 8.4 8.4 8.2 8.9 9.1
RMSE 2703 2768 2773 2742 2650 2620
Linear eqn. w/log transformed and quadratic variables (Equation 6) a −4.867 * −4.945 −4.951 −4.994 * −6.049 −6.607
b 2.502 2.527 2.522 2.544 2.722 2.809
c −0.105 −0.106 −0.106 −0.107 −0.115 −0.119
RMSE 2682 2750 2759 2715 2652 2619

Notes: * Not significantly different from 0 (p > 0.05); RMSE is μg/m3.